In ED one has access to a symplectic structure, and thus Hamiltonians, and one can argue for (or derive, see e.g., [1]}) a linear Schrödinger dynamics. These pieces on their own, while composing important aspects of quantum theory, are not equivalent to it — the conventional quantum theory is built upon a complex Hilbert space with many additional constructions: inner products, metric structures, unitary operators, etc. Introducing this additional architecture from a natural inferential viewpoint is a task worthy of pursuit, but one that is largely outside the purview of this thesis in particular.
